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arXiv · 2003.11073

Weak-ergodicity-breaking via lattice supersymmetry

Federica Maria Surace·Giuliano Giudici·Marcello Dalmonte
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Abstract

We study the spectral properties of $D$-dimensional $N=2$ supersymmetric lattice models. We find systematic departures from the eigenstate thermalization hypothesis (ETH) in the form of a degenerate set of ETH-violating supersymmetric (SUSY) doublets, also referred to as many-body scars, that we construct analytically. These states are stable against arbitrary SUSY-preserving perturbations, including inhomogeneous couplings. For the specific case of two-leg ladders, we provide extensive numerical evidence that shows how those states are the only ones violating the ETH, and discuss their robustness to SUSY-violating perturbations. Our work suggests a generic mechanism to stabilize quantum many-body scars in lattice models in arbitrary dimensions.

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Federica Maria Surace, Giuliano Giudici, Marcello Dalmonte. 2020-10-05. Weak-ergodicity-breaking via lattice supersymmetry. https://doi.org/10.22331/q-2020-10-07-339

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